Alexander Pruss's Blog

Suppose we have a finitely-additive probability assignment p (perhaps real, perhaps hyperreal) for a countably infinite lottery with ticket...

Suppose someone offers you, at no cost whatsoever, something of specified positive value. However small that value, it seems irrational to r...

Suppose that s is a proper scoring rule on a finite space Ω continuous on probabilities and suppose that for no probability p is the expe...

On finite sample spaces, we have the Pettigrew-Nielsen-Pruss domination theorem for strictly proper scoring rules that are continuous when ...

Suppose we have an infinite fair lottery with tickets 1,2,3,…. Now consider a wager W where you get 1/ n units of utility if ticket n win...

About a decade ago, I offered a counterexample to the following domination principle: Given two wagers A and B , if in every state B is...

I wrote a rough draft of a paper proving geometrically that any strictly proper scoring rule continuous on the probabilities has every scor...